Fourth order approximation for the rotational distortion of stars of arbitrary structure

Details Fourth order approximation for the rotational distortion of stars of arbitrary structure Fourth order approximation for the rotational distortion of stars of arbitrary structure

Nov 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974nrl..reptq....k&link_type=abstract

Final Report Naval Research Lab., Washington, DC.

Statistics

Applications

Differential Equations, Distortion, Stellar Rotation, Approximation, Boundary Conditions, Boundary Layers, Stellar Structure

Scientific paper

Clairaut's theory of the rotational distortion of self-gravitating configurations of arbitrary structure, arising from axial rotation with constant angular velocity, previously developed to quantities of third order in superficial distortion, has now been extended to fourth-order terms. The differential equations governing the form and exterior potential of stars rotating in the previously described manner have been set up by the method followed in a previous paper (Z. Kopal, Astrophys. Space Sci. 24, 145, 1973) together with their boundary conditions. Their applications to practical cases are being postponed for a subsequent investigation.

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